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Simplifying 4(2x + -3) + -3(x + -2) + 2 = 4 + -1(x + -7) Reorder the terms: 4(-3 + 2x) + -3(x + -2) + 2 = 4 + -1(x + -7) (-3 * 4 + 2x * 4) + -3(x + -2) + 2 = 4 + -1(x + -7) (-12 + 8x) + -3(x + -2) + 2 = 4 + -1(x + -7) Reorder the terms: -12 + 8x + -3(-2 + x) + 2 = 4 + -1(x + -7) -12 + 8x + (-2 * -3 + x * -3) + 2 = 4 + -1(x + -7) -12 + 8x + (6 + -3x) + 2 = 4 + -1(x + -7) Reorder the terms: -12 + 6 + 2 + 8x + -3x = 4 + -1(x + -7) Combine like terms: -12 + 6 = -6 -6 + 2 + 8x + -3x = 4 + -1(x + -7) Combine like terms: -6 + 2 = -4 -4 + 8x + -3x = 4 + -1(x + -7) Combine like terms: 8x + -3x = 5x -4 + 5x = 4 + -1(x + -7) Reorder the terms: -4 + 5x = 4 + -1(-7 + x) -4 + 5x = 4 + (-7 * -1 + x * -1) -4 + 5x = 4 + (7 + -1x) Combine like terms: 4 + 7 = 11 -4 + 5x = 11 + -1x Solving -4 + 5x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 5x + x = 11 + -1x + x Combine like terms: 5x + x = 6x -4 + 6x = 11 + -1x + x Combine like terms: -1x + x = 0 -4 + 6x = 11 + 0 -4 + 6x = 11 Add '4' to each side of the equation. -4 + 4 + 6x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 11 + 4 6x = 11 + 4 Combine like terms: 11 + 4 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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