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Simplifying 4(6x + -8) + 8(x + -14) = 4(6x + 8) + 6(x + -12) Reorder the terms: 4(-8 + 6x) + 8(x + -14) = 4(6x + 8) + 6(x + -12) (-8 * 4 + 6x * 4) + 8(x + -14) = 4(6x + 8) + 6(x + -12) (-32 + 24x) + 8(x + -14) = 4(6x + 8) + 6(x + -12) Reorder the terms: -32 + 24x + 8(-14 + x) = 4(6x + 8) + 6(x + -12) -32 + 24x + (-14 * 8 + x * 8) = 4(6x + 8) + 6(x + -12) -32 + 24x + (-112 + 8x) = 4(6x + 8) + 6(x + -12) Reorder the terms: -32 + -112 + 24x + 8x = 4(6x + 8) + 6(x + -12) Combine like terms: -32 + -112 = -144 -144 + 24x + 8x = 4(6x + 8) + 6(x + -12) Combine like terms: 24x + 8x = 32x -144 + 32x = 4(6x + 8) + 6(x + -12) Reorder the terms: -144 + 32x = 4(8 + 6x) + 6(x + -12) -144 + 32x = (8 * 4 + 6x * 4) + 6(x + -12) -144 + 32x = (32 + 24x) + 6(x + -12) Reorder the terms: -144 + 32x = 32 + 24x + 6(-12 + x) -144 + 32x = 32 + 24x + (-12 * 6 + x * 6) -144 + 32x = 32 + 24x + (-72 + 6x) Reorder the terms: -144 + 32x = 32 + -72 + 24x + 6x Combine like terms: 32 + -72 = -40 -144 + 32x = -40 + 24x + 6x Combine like terms: 24x + 6x = 30x -144 + 32x = -40 + 30x Solving -144 + 32x = -40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -144 + 32x + -30x = -40 + 30x + -30x Combine like terms: 32x + -30x = 2x -144 + 2x = -40 + 30x + -30x Combine like terms: 30x + -30x = 0 -144 + 2x = -40 + 0 -144 + 2x = -40 Add '144' to each side of the equation. -144 + 144 + 2x = -40 + 144 Combine like terms: -144 + 144 = 0 0 + 2x = -40 + 144 2x = -40 + 144 Combine like terms: -40 + 144 = 104 2x = 104 Divide each side by '2'. x = 52 Simplifying x = 52
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