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Simplifying 4(x + -3) + 9 = -3(2x + 5) + 2(x + 4) Reorder the terms: 4(-3 + x) + 9 = -3(2x + 5) + 2(x + 4) (-3 * 4 + x * 4) + 9 = -3(2x + 5) + 2(x + 4) (-12 + 4x) + 9 = -3(2x + 5) + 2(x + 4) Reorder the terms: -12 + 9 + 4x = -3(2x + 5) + 2(x + 4) Combine like terms: -12 + 9 = -3 -3 + 4x = -3(2x + 5) + 2(x + 4) Reorder the terms: -3 + 4x = -3(5 + 2x) + 2(x + 4) -3 + 4x = (5 * -3 + 2x * -3) + 2(x + 4) -3 + 4x = (-15 + -6x) + 2(x + 4) Reorder the terms: -3 + 4x = -15 + -6x + 2(4 + x) -3 + 4x = -15 + -6x + (4 * 2 + x * 2) -3 + 4x = -15 + -6x + (8 + 2x) Reorder the terms: -3 + 4x = -15 + 8 + -6x + 2x Combine like terms: -15 + 8 = -7 -3 + 4x = -7 + -6x + 2x Combine like terms: -6x + 2x = -4x -3 + 4x = -7 + -4x Solving -3 + 4x = -7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 4x + 4x = -7 + -4x + 4x Combine like terms: 4x + 4x = 8x -3 + 8x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 8x = -7 + 0 -3 + 8x = -7 Add '3' to each side of the equation. -3 + 3 + 8x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -7 + 3 8x = -7 + 3 Combine like terms: -7 + 3 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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