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Simplifying 2(x + -3) + 7 = 13 + -4(x + -6) Reorder the terms: 2(-3 + x) + 7 = 13 + -4(x + -6) (-3 * 2 + x * 2) + 7 = 13 + -4(x + -6) (-6 + 2x) + 7 = 13 + -4(x + -6) Reorder the terms: -6 + 7 + 2x = 13 + -4(x + -6) Combine like terms: -6 + 7 = 1 1 + 2x = 13 + -4(x + -6) Reorder the terms: 1 + 2x = 13 + -4(-6 + x) 1 + 2x = 13 + (-6 * -4 + x * -4) 1 + 2x = 13 + (24 + -4x) Combine like terms: 13 + 24 = 37 1 + 2x = 37 + -4x Solving 1 + 2x = 37 + -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. 1 + 2x + 4x = 37 + -4x + 4x Combine like terms: 2x + 4x = 6x 1 + 6x = 37 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 6x = 37 + 0 1 + 6x = 37 Add '-1' to each side of the equation. 1 + -1 + 6x = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 37 + -1 6x = 37 + -1 Combine like terms: 37 + -1 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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