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Simplifying 10x + -2(x + -2) = 4 + 4(x + 1) + 3x Reorder the terms: 10x + -2(-2 + x) = 4 + 4(x + 1) + 3x 10x + (-2 * -2 + x * -2) = 4 + 4(x + 1) + 3x 10x + (4 + -2x) = 4 + 4(x + 1) + 3x Reorder the terms: 4 + 10x + -2x = 4 + 4(x + 1) + 3x Combine like terms: 10x + -2x = 8x 4 + 8x = 4 + 4(x + 1) + 3x Reorder the terms: 4 + 8x = 4 + 4(1 + x) + 3x 4 + 8x = 4 + (1 * 4 + x * 4) + 3x 4 + 8x = 4 + (4 + 4x) + 3x Combine like terms: 4 + 4 = 8 4 + 8x = 8 + 4x + 3x Combine like terms: 4x + 3x = 7x 4 + 8x = 8 + 7x Solving 4 + 8x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 8x + -7x = 8 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = 8 + 0 4 + 1x = 8 Add '-4' to each side of the equation. 4 + -4 + 1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 8 + -4 1x = 8 + -4 Combine like terms: 8 + -4 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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