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Simplifying 10x + 4 = 8(2x + -4) Reorder the terms: 4 + 10x = 8(2x + -4) Reorder the terms: 4 + 10x = 8(-4 + 2x) 4 + 10x = (-4 * 8 + 2x * 8) 4 + 10x = (-32 + 16x) Solving 4 + 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. 4 + 10x + -16x = -32 + 16x + -16x Combine like terms: 10x + -16x = -6x 4 + -6x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 4 + -6x = -32 + 0 4 + -6x = -32 Add '-4' to each side of the equation. 4 + -4 + -6x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -32 + -4 -6x = -32 + -4 Combine like terms: -32 + -4 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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