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Simplifying 1 + -4(2x + 3) = 5(x + -2) + -3(x + -1) Reorder the terms: 1 + -4(3 + 2x) = 5(x + -2) + -3(x + -1) 1 + (3 * -4 + 2x * -4) = 5(x + -2) + -3(x + -1) 1 + (-12 + -8x) = 5(x + -2) + -3(x + -1) Combine like terms: 1 + -12 = -11 -11 + -8x = 5(x + -2) + -3(x + -1) Reorder the terms: -11 + -8x = 5(-2 + x) + -3(x + -1) -11 + -8x = (-2 * 5 + x * 5) + -3(x + -1) -11 + -8x = (-10 + 5x) + -3(x + -1) Reorder the terms: -11 + -8x = -10 + 5x + -3(-1 + x) -11 + -8x = -10 + 5x + (-1 * -3 + x * -3) -11 + -8x = -10 + 5x + (3 + -3x) Reorder the terms: -11 + -8x = -10 + 3 + 5x + -3x Combine like terms: -10 + 3 = -7 -11 + -8x = -7 + 5x + -3x Combine like terms: 5x + -3x = 2x -11 + -8x = -7 + 2x Solving -11 + -8x = -7 + 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. -11 + -8x + -2x = -7 + 2x + -2x Combine like terms: -8x + -2x = -10x -11 + -10x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -10x = -7 + 0 -11 + -10x = -7 Add '11' to each side of the equation. -11 + 11 + -10x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -10x = -7 + 11 -10x = -7 + 11 Combine like terms: -7 + 11 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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