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Simplifying 8(x + -4) + -16 = 10(x + -7) Reorder the terms: 8(-4 + x) + -16 = 10(x + -7) (-4 * 8 + x * 8) + -16 = 10(x + -7) (-32 + 8x) + -16 = 10(x + -7) Reorder the terms: -32 + -16 + 8x = 10(x + -7) Combine like terms: -32 + -16 = -48 -48 + 8x = 10(x + -7) Reorder the terms: -48 + 8x = 10(-7 + x) -48 + 8x = (-7 * 10 + x * 10) -48 + 8x = (-70 + 10x) Solving -48 + 8x = -70 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -48 + 8x + -10x = -70 + 10x + -10x Combine like terms: 8x + -10x = -2x -48 + -2x = -70 + 10x + -10x Combine like terms: 10x + -10x = 0 -48 + -2x = -70 + 0 -48 + -2x = -70 Add '48' to each side of the equation. -48 + 48 + -2x = -70 + 48 Combine like terms: -48 + 48 = 0 0 + -2x = -70 + 48 -2x = -70 + 48 Combine like terms: -70 + 48 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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