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Simplifying 3 + -5(2x + -7) = 2 + 3(4 + -3x) Reorder the terms: 3 + -5(-7 + 2x) = 2 + 3(4 + -3x) 3 + (-7 * -5 + 2x * -5) = 2 + 3(4 + -3x) 3 + (35 + -10x) = 2 + 3(4 + -3x) Combine like terms: 3 + 35 = 38 38 + -10x = 2 + 3(4 + -3x) 38 + -10x = 2 + (4 * 3 + -3x * 3) 38 + -10x = 2 + (12 + -9x) Combine like terms: 2 + 12 = 14 38 + -10x = 14 + -9x Solving 38 + -10x = 14 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 38 + -10x + 9x = 14 + -9x + 9x Combine like terms: -10x + 9x = -1x 38 + -1x = 14 + -9x + 9x Combine like terms: -9x + 9x = 0 38 + -1x = 14 + 0 38 + -1x = 14 Add '-38' to each side of the equation. 38 + -38 + -1x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 14 + -38 -1x = 14 + -38 Combine like terms: 14 + -38 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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