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Simplifying 4(4x + -3) + -6x = 4(2x + 3 + -24) Reorder the terms: 4(-3 + 4x) + -6x = 4(2x + 3 + -24) (-3 * 4 + 4x * 4) + -6x = 4(2x + 3 + -24) (-12 + 16x) + -6x = 4(2x + 3 + -24) Combine like terms: 16x + -6x = 10x -12 + 10x = 4(2x + 3 + -24) Reorder the terms: -12 + 10x = 4(3 + -24 + 2x) Combine like terms: 3 + -24 = -21 -12 + 10x = 4(-21 + 2x) -12 + 10x = (-21 * 4 + 2x * 4) -12 + 10x = (-84 + 8x) Solving -12 + 10x = -84 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 10x + -8x = -84 + 8x + -8x Combine like terms: 10x + -8x = 2x -12 + 2x = -84 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 2x = -84 + 0 -12 + 2x = -84 Add '12' to each side of the equation. -12 + 12 + 2x = -84 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -84 + 12 2x = -84 + 12 Combine like terms: -84 + 12 = -72 2x = -72 Divide each side by '2'. x = -36 Simplifying x = -36
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