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Simplifying 5x + -2(2 + -3) = 3(x + -4) + -24 Combine like terms: 2 + -3 = -1 5x + -2(-1) = 3(x + -4) + -24 Multiply -2 * -1 5x + 2 = 3(x + -4) + -24 Reorder the terms: 2 + 5x = 3(x + -4) + -24 Reorder the terms: 2 + 5x = 3(-4 + x) + -24 2 + 5x = (-4 * 3 + x * 3) + -24 2 + 5x = (-12 + 3x) + -24 Reorder the terms: 2 + 5x = -12 + -24 + 3x Combine like terms: -12 + -24 = -36 2 + 5x = -36 + 3x Solving 2 + 5x = -36 + 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. 2 + 5x + -3x = -36 + 3x + -3x Combine like terms: 5x + -3x = 2x 2 + 2x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 2x = -36 + 0 2 + 2x = -36 Add '-2' to each side of the equation. 2 + -2 + 2x = -36 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -36 + -2 2x = -36 + -2 Combine like terms: -36 + -2 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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