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Simplifying 4(x + -7) + 12 = 8(x + 6) + -3x Reorder the terms: 4(-7 + x) + 12 = 8(x + 6) + -3x (-7 * 4 + x * 4) + 12 = 8(x + 6) + -3x (-28 + 4x) + 12 = 8(x + 6) + -3x Reorder the terms: -28 + 12 + 4x = 8(x + 6) + -3x Combine like terms: -28 + 12 = -16 -16 + 4x = 8(x + 6) + -3x Reorder the terms: -16 + 4x = 8(6 + x) + -3x -16 + 4x = (6 * 8 + x * 8) + -3x -16 + 4x = (48 + 8x) + -3x Combine like terms: 8x + -3x = 5x -16 + 4x = 48 + 5x Solving -16 + 4x = 48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 4x + -5x = 48 + 5x + -5x Combine like terms: 4x + -5x = -1x -16 + -1x = 48 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -1x = 48 + 0 -16 + -1x = 48 Add '16' to each side of the equation. -16 + 16 + -1x = 48 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 48 + 16 -1x = 48 + 16 Combine like terms: 48 + 16 = 64 -1x = 64 Divide each side by '-1'. x = -64 Simplifying x = -64
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