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Simplifying 4 + -16(x + -3) = 6(x + 2) + 1 + -8(x + -4) Reorder the terms: 4 + -16(-3 + x) = 6(x + 2) + 1 + -8(x + -4) 4 + (-3 * -16 + x * -16) = 6(x + 2) + 1 + -8(x + -4) 4 + (48 + -16x) = 6(x + 2) + 1 + -8(x + -4) Combine like terms: 4 + 48 = 52 52 + -16x = 6(x + 2) + 1 + -8(x + -4) Reorder the terms: 52 + -16x = 6(2 + x) + 1 + -8(x + -4) 52 + -16x = (2 * 6 + x * 6) + 1 + -8(x + -4) 52 + -16x = (12 + 6x) + 1 + -8(x + -4) Reorder the terms: 52 + -16x = 12 + 6x + 1 + -8(-4 + x) 52 + -16x = 12 + 6x + 1 + (-4 * -8 + x * -8) 52 + -16x = 12 + 6x + 1 + (32 + -8x) Reorder the terms: 52 + -16x = 12 + 1 + 32 + 6x + -8x Combine like terms: 12 + 1 = 13 52 + -16x = 13 + 32 + 6x + -8x Combine like terms: 13 + 32 = 45 52 + -16x = 45 + 6x + -8x Combine like terms: 6x + -8x = -2x 52 + -16x = 45 + -2x Solving 52 + -16x = 45 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 52 + -16x + 2x = 45 + -2x + 2x Combine like terms: -16x + 2x = -14x 52 + -14x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 52 + -14x = 45 + 0 52 + -14x = 45 Add '-52' to each side of the equation. 52 + -52 + -14x = 45 + -52 Combine like terms: 52 + -52 = 0 0 + -14x = 45 + -52 -14x = 45 + -52 Combine like terms: 45 + -52 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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