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Simplifying 3 + -2(x + 5) = -3(x + -4) + 2x Reorder the terms: 3 + -2(5 + x) = -3(x + -4) + 2x 3 + (5 * -2 + x * -2) = -3(x + -4) + 2x 3 + (-10 + -2x) = -3(x + -4) + 2x Combine like terms: 3 + -10 = -7 -7 + -2x = -3(x + -4) + 2x Reorder the terms: -7 + -2x = -3(-4 + x) + 2x -7 + -2x = (-4 * -3 + x * -3) + 2x -7 + -2x = (12 + -3x) + 2x Combine like terms: -3x + 2x = -1x -7 + -2x = 12 + -1x Solving -7 + -2x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + -2x + x = 12 + -1x + x Combine like terms: -2x + x = -1x -7 + -1x = 12 + -1x + x Combine like terms: -1x + x = 0 -7 + -1x = 12 + 0 -7 + -1x = 12 Add '7' to each side of the equation. -7 + 7 + -1x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 12 + 7 -1x = 12 + 7 Combine like terms: 12 + 7 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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