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Simplifying 4(2x + -3) + -2(3x + -7) = 5 Reorder the terms: 4(-3 + 2x) + -2(3x + -7) = 5 (-3 * 4 + 2x * 4) + -2(3x + -7) = 5 (-12 + 8x) + -2(3x + -7) = 5 Reorder the terms: -12 + 8x + -2(-7 + 3x) = 5 -12 + 8x + (-7 * -2 + 3x * -2) = 5 -12 + 8x + (14 + -6x) = 5 Reorder the terms: -12 + 14 + 8x + -6x = 5 Combine like terms: -12 + 14 = 2 2 + 8x + -6x = 5 Combine like terms: 8x + -6x = 2x 2 + 2x = 5 Solving 2 + 2x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 5 + -2 2x = 5 + -2 Combine like terms: 5 + -2 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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