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Simplifying 8(x + -4) + -6 = 10(x + -7) Reorder the terms: 8(-4 + x) + -6 = 10(x + -7) (-4 * 8 + x * 8) + -6 = 10(x + -7) (-32 + 8x) + -6 = 10(x + -7) Reorder the terms: -32 + -6 + 8x = 10(x + -7) Combine like terms: -32 + -6 = -38 -38 + 8x = 10(x + -7) Reorder the terms: -38 + 8x = 10(-7 + x) -38 + 8x = (-7 * 10 + x * 10) -38 + 8x = (-70 + 10x) Solving -38 + 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. -38 + 8x + -10x = -70 + 10x + -10x Combine like terms: 8x + -10x = -2x -38 + -2x = -70 + 10x + -10x Combine like terms: 10x + -10x = 0 -38 + -2x = -70 + 0 -38 + -2x = -70 Add '38' to each side of the equation. -38 + 38 + -2x = -70 + 38 Combine like terms: -38 + 38 = 0 0 + -2x = -70 + 38 -2x = -70 + 38 Combine like terms: -70 + 38 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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