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Simplifying 10x + 7 = 8(2x + -4) Reorder the terms: 7 + 10x = 8(2x + -4) Reorder the terms: 7 + 10x = 8(-4 + 2x) 7 + 10x = (-4 * 8 + 2x * 8) 7 + 10x = (-32 + 16x) Solving 7 + 10x = -32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7 + 10x + -16x = -32 + 16x + -16x Combine like terms: 10x + -16x = -6x 7 + -6x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -6x = -32 + 0 7 + -6x = -32 Add '-7' to each side of the equation. 7 + -7 + -6x = -32 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -32 + -7 -6x = -32 + -7 Combine like terms: -32 + -7 = -39 -6x = -39 Divide each side by '-6'. x = 6.5 Simplifying x = 6.5
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