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Simplifying 3x + -1(4(x + -3) + 10) = -2(x + 4) + -15 Reorder the terms: 3x + -1(4(-3 + x) + 10) = -2(x + 4) + -15 3x + -1((-3 * 4 + x * 4) + 10) = -2(x + 4) + -15 3x + -1((-12 + 4x) + 10) = -2(x + 4) + -15 Reorder the terms: 3x + -1(-12 + 10 + 4x) = -2(x + 4) + -15 Combine like terms: -12 + 10 = -2 3x + -1(-2 + 4x) = -2(x + 4) + -15 3x + (-2 * -1 + 4x * -1) = -2(x + 4) + -15 3x + (2 + -4x) = -2(x + 4) + -15 Reorder the terms: 2 + 3x + -4x = -2(x + 4) + -15 Combine like terms: 3x + -4x = -1x 2 + -1x = -2(x + 4) + -15 Reorder the terms: 2 + -1x = -2(4 + x) + -15 2 + -1x = (4 * -2 + x * -2) + -15 2 + -1x = (-8 + -2x) + -15 Reorder the terms: 2 + -1x = -8 + -15 + -2x Combine like terms: -8 + -15 = -23 2 + -1x = -23 + -2x Solving 2 + -1x = -23 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + -1x + 2x = -23 + -2x + 2x Combine like terms: -1x + 2x = 1x 2 + 1x = -23 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 1x = -23 + 0 2 + 1x = -23 Add '-2' to each side of the equation. 2 + -2 + 1x = -23 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -23 + -2 1x = -23 + -2 Combine like terms: -23 + -2 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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