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Simplifying -5(3x + 2) + 3(2x + -3) = 4(-2x + 3) Reorder the terms: -5(2 + 3x) + 3(2x + -3) = 4(-2x + 3) (2 * -5 + 3x * -5) + 3(2x + -3) = 4(-2x + 3) (-10 + -15x) + 3(2x + -3) = 4(-2x + 3) Reorder the terms: -10 + -15x + 3(-3 + 2x) = 4(-2x + 3) -10 + -15x + (-3 * 3 + 2x * 3) = 4(-2x + 3) -10 + -15x + (-9 + 6x) = 4(-2x + 3) Reorder the terms: -10 + -9 + -15x + 6x = 4(-2x + 3) Combine like terms: -10 + -9 = -19 -19 + -15x + 6x = 4(-2x + 3) Combine like terms: -15x + 6x = -9x -19 + -9x = 4(-2x + 3) Reorder the terms: -19 + -9x = 4(3 + -2x) -19 + -9x = (3 * 4 + -2x * 4) -19 + -9x = (12 + -8x) Solving -19 + -9x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -19 + -9x + 8x = 12 + -8x + 8x Combine like terms: -9x + 8x = -1x -19 + -1x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -19 + -1x = 12 + 0 -19 + -1x = 12 Add '19' to each side of the equation. -19 + 19 + -1x = 12 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 12 + 19 -1x = 12 + 19 Combine like terms: 12 + 19 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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