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Simplifying 5(x + 2) + -1(3x + -3) = 6x + -7 Reorder the terms: 5(2 + x) + -1(3x + -3) = 6x + -7 (2 * 5 + x * 5) + -1(3x + -3) = 6x + -7 (10 + 5x) + -1(3x + -3) = 6x + -7 Reorder the terms: 10 + 5x + -1(-3 + 3x) = 6x + -7 10 + 5x + (-3 * -1 + 3x * -1) = 6x + -7 10 + 5x + (3 + -3x) = 6x + -7 Reorder the terms: 10 + 3 + 5x + -3x = 6x + -7 Combine like terms: 10 + 3 = 13 13 + 5x + -3x = 6x + -7 Combine like terms: 5x + -3x = 2x 13 + 2x = 6x + -7 Reorder the terms: 13 + 2x = -7 + 6x Solving 13 + 2x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 2x + -6x = -7 + 6x + -6x Combine like terms: 2x + -6x = -4x 13 + -4x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -4x = -7 + 0 13 + -4x = -7 Add '-13' to each side of the equation. 13 + -13 + -4x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -7 + -13 -4x = -7 + -13 Combine like terms: -7 + -13 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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