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Simplifying x + 10 + -7 = 4(x + 6) + -2(3x + 3) Reorder the terms: 10 + -7 + x = 4(x + 6) + -2(3x + 3) Combine like terms: 10 + -7 = 3 3 + x = 4(x + 6) + -2(3x + 3) Reorder the terms: 3 + x = 4(6 + x) + -2(3x + 3) 3 + x = (6 * 4 + x * 4) + -2(3x + 3) 3 + x = (24 + 4x) + -2(3x + 3) Reorder the terms: 3 + x = 24 + 4x + -2(3 + 3x) 3 + x = 24 + 4x + (3 * -2 + 3x * -2) 3 + x = 24 + 4x + (-6 + -6x) Reorder the terms: 3 + x = 24 + -6 + 4x + -6x Combine like terms: 24 + -6 = 18 3 + x = 18 + 4x + -6x Combine like terms: 4x + -6x = -2x 3 + x = 18 + -2x Solving 3 + x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + x + 2x = 18 + -2x + 2x Combine like terms: x + 2x = 3x 3 + 3x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 3x = 18 + 0 3 + 3x = 18 Add '-3' to each side of the equation. 3 + -3 + 3x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 18 + -3 3x = 18 + -3 Combine like terms: 18 + -3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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