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Simplifying 2(x + -3) + 5(x + 4) = 4(-2x + -3) + -3(x + 4) Reorder the terms: 2(-3 + x) + 5(x + 4) = 4(-2x + -3) + -3(x + 4) (-3 * 2 + x * 2) + 5(x + 4) = 4(-2x + -3) + -3(x + 4) (-6 + 2x) + 5(x + 4) = 4(-2x + -3) + -3(x + 4) Reorder the terms: -6 + 2x + 5(4 + x) = 4(-2x + -3) + -3(x + 4) -6 + 2x + (4 * 5 + x * 5) = 4(-2x + -3) + -3(x + 4) -6 + 2x + (20 + 5x) = 4(-2x + -3) + -3(x + 4) Reorder the terms: -6 + 20 + 2x + 5x = 4(-2x + -3) + -3(x + 4) Combine like terms: -6 + 20 = 14 14 + 2x + 5x = 4(-2x + -3) + -3(x + 4) Combine like terms: 2x + 5x = 7x 14 + 7x = 4(-2x + -3) + -3(x + 4) Reorder the terms: 14 + 7x = 4(-3 + -2x) + -3(x + 4) 14 + 7x = (-3 * 4 + -2x * 4) + -3(x + 4) 14 + 7x = (-12 + -8x) + -3(x + 4) Reorder the terms: 14 + 7x = -12 + -8x + -3(4 + x) 14 + 7x = -12 + -8x + (4 * -3 + x * -3) 14 + 7x = -12 + -8x + (-12 + -3x) Reorder the terms: 14 + 7x = -12 + -12 + -8x + -3x Combine like terms: -12 + -12 = -24 14 + 7x = -24 + -8x + -3x Combine like terms: -8x + -3x = -11x 14 + 7x = -24 + -11x Solving 14 + 7x = -24 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 14 + 7x + 11x = -24 + -11x + 11x Combine like terms: 7x + 11x = 18x 14 + 18x = -24 + -11x + 11x Combine like terms: -11x + 11x = 0 14 + 18x = -24 + 0 14 + 18x = -24 Add '-14' to each side of the equation. 14 + -14 + 18x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = -24 + -14 18x = -24 + -14 Combine like terms: -24 + -14 = -38 18x = -38 Divide each side by '18'. x = -2.111111111 Simplifying x = -2.111111111
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