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Simplifying 7 + -1(2x + -3) + 3x = 3x + -6 Reorder the terms: 7 + -1(-3 + 2x) + 3x = 3x + -6 7 + (-3 * -1 + 2x * -1) + 3x = 3x + -6 7 + (3 + -2x) + 3x = 3x + -6 Combine like terms: 7 + 3 = 10 10 + -2x + 3x = 3x + -6 Combine like terms: -2x + 3x = 1x 10 + 1x = 3x + -6 Reorder the terms: 10 + 1x = -6 + 3x Solving 10 + 1x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 1x + -3x = -6 + 3x + -3x Combine like terms: 1x + -3x = -2x 10 + -2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -2x = -6 + 0 10 + -2x = -6 Add '-10' to each side of the equation. 10 + -10 + -2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -6 + -10 -2x = -6 + -10 Combine like terms: -6 + -10 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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