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Simplifying 4(x + 3) * 2 = 10(x + 3) + -4 Reorder the terms: 4(3 + x) * 2 = 10(x + 3) + -4 Reorder the terms for easier multiplication: 4 * 2(3 + x) = 10(x + 3) + -4 Multiply 4 * 2 8(3 + x) = 10(x + 3) + -4 (3 * 8 + x * 8) = 10(x + 3) + -4 (24 + 8x) = 10(x + 3) + -4 Reorder the terms: 24 + 8x = 10(3 + x) + -4 24 + 8x = (3 * 10 + x * 10) + -4 24 + 8x = (30 + 10x) + -4 Reorder the terms: 24 + 8x = 30 + -4 + 10x Combine like terms: 30 + -4 = 26 24 + 8x = 26 + 10x Solving 24 + 8x = 26 + 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. 24 + 8x + -10x = 26 + 10x + -10x Combine like terms: 8x + -10x = -2x 24 + -2x = 26 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -2x = 26 + 0 24 + -2x = 26 Add '-24' to each side of the equation. 24 + -24 + -2x = 26 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 26 + -24 -2x = 26 + -24 Combine like terms: 26 + -24 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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