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Simplifying 10x + -2(x + -3) = 4(x + 1) + 4 Reorder the terms: 10x + -2(-3 + x) = 4(x + 1) + 4 10x + (-3 * -2 + x * -2) = 4(x + 1) + 4 10x + (6 + -2x) = 4(x + 1) + 4 Reorder the terms: 6 + 10x + -2x = 4(x + 1) + 4 Combine like terms: 10x + -2x = 8x 6 + 8x = 4(x + 1) + 4 Reorder the terms: 6 + 8x = 4(1 + x) + 4 6 + 8x = (1 * 4 + x * 4) + 4 6 + 8x = (4 + 4x) + 4 Reorder the terms: 6 + 8x = 4 + 4 + 4x Combine like terms: 4 + 4 = 8 6 + 8x = 8 + 4x Solving 6 + 8x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 8x + -4x = 8 + 4x + -4x Combine like terms: 8x + -4x = 4x 6 + 4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 4x = 8 + 0 6 + 4x = 8 Add '-6' to each side of the equation. 6 + -6 + 4x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 8 + -6 4x = 8 + -6 Combine like terms: 8 + -6 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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