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Simplifying 3 + -1(5x + -10) + 2x = 4x + -1(3x + -7) Reorder the terms: 3 + -1(-10 + 5x) + 2x = 4x + -1(3x + -7) 3 + (-10 * -1 + 5x * -1) + 2x = 4x + -1(3x + -7) 3 + (10 + -5x) + 2x = 4x + -1(3x + -7) Combine like terms: 3 + 10 = 13 13 + -5x + 2x = 4x + -1(3x + -7) Combine like terms: -5x + 2x = -3x 13 + -3x = 4x + -1(3x + -7) Reorder the terms: 13 + -3x = 4x + -1(-7 + 3x) 13 + -3x = 4x + (-7 * -1 + 3x * -1) 13 + -3x = 4x + (7 + -3x) Reorder the terms: 13 + -3x = 7 + 4x + -3x Combine like terms: 4x + -3x = 1x 13 + -3x = 7 + 1x Solving 13 + -3x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + -3x + -1x = 7 + 1x + -1x Combine like terms: -3x + -1x = -4x 13 + -4x = 7 + 1x + -1x Combine like terms: 1x + -1x = 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 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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