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Simplifying -10(x + 3) + 5(3x + -7) = 4(x + -6) + 8 Reorder the terms: -10(3 + x) + 5(3x + -7) = 4(x + -6) + 8 (3 * -10 + x * -10) + 5(3x + -7) = 4(x + -6) + 8 (-30 + -10x) + 5(3x + -7) = 4(x + -6) + 8 Reorder the terms: -30 + -10x + 5(-7 + 3x) = 4(x + -6) + 8 -30 + -10x + (-7 * 5 + 3x * 5) = 4(x + -6) + 8 -30 + -10x + (-35 + 15x) = 4(x + -6) + 8 Reorder the terms: -30 + -35 + -10x + 15x = 4(x + -6) + 8 Combine like terms: -30 + -35 = -65 -65 + -10x + 15x = 4(x + -6) + 8 Combine like terms: -10x + 15x = 5x -65 + 5x = 4(x + -6) + 8 Reorder the terms: -65 + 5x = 4(-6 + x) + 8 -65 + 5x = (-6 * 4 + x * 4) + 8 -65 + 5x = (-24 + 4x) + 8 Reorder the terms: -65 + 5x = -24 + 8 + 4x Combine like terms: -24 + 8 = -16 -65 + 5x = -16 + 4x Solving -65 + 5x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -65 + 5x + -4x = -16 + 4x + -4x Combine like terms: 5x + -4x = 1x -65 + 1x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -65 + 1x = -16 + 0 -65 + 1x = -16 Add '65' to each side of the equation. -65 + 65 + 1x = -16 + 65 Combine like terms: -65 + 65 = 0 0 + 1x = -16 + 65 1x = -16 + 65 Combine like terms: -16 + 65 = 49 1x = 49 Divide each side by '1'. x = 49 Simplifying x = 49
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