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Simplifying -4x + 3x + -15 = 8(x + 6) + 40 Reorder the terms: -15 + -4x + 3x = 8(x + 6) + 40 Combine like terms: -4x + 3x = -1x -15 + -1x = 8(x + 6) + 40 Reorder the terms: -15 + -1x = 8(6 + x) + 40 -15 + -1x = (6 * 8 + x * 8) + 40 -15 + -1x = (48 + 8x) + 40 Reorder the terms: -15 + -1x = 48 + 40 + 8x Combine like terms: 48 + 40 = 88 -15 + -1x = 88 + 8x Solving -15 + -1x = 88 + 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. -15 + -1x + -8x = 88 + 8x + -8x Combine like terms: -1x + -8x = -9x -15 + -9x = 88 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -9x = 88 + 0 -15 + -9x = 88 Add '15' to each side of the equation. -15 + 15 + -9x = 88 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 88 + 15 -9x = 88 + 15 Combine like terms: 88 + 15 = 103 -9x = 103 Divide each side by '-9'. x = -11.44444444 Simplifying x = -11.44444444
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