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Simplifying 0.5(2 + -6x) + -4(x + 1.5) = -1(x + -3) + 4 (2 * 0.5 + -6x * 0.5) + -4(x + 1.5) = -1(x + -3) + 4 (1 + -3x) + -4(x + 1.5) = -1(x + -3) + 4 Reorder the terms: 1 + -3x + -4(1.5 + x) = -1(x + -3) + 4 1 + -3x + (1.5 * -4 + x * -4) = -1(x + -3) + 4 1 + -3x + (-6 + -4x) = -1(x + -3) + 4 Reorder the terms: 1 + -6 + -3x + -4x = -1(x + -3) + 4 Combine like terms: 1 + -6 = -5 -5 + -3x + -4x = -1(x + -3) + 4 Combine like terms: -3x + -4x = -7x -5 + -7x = -1(x + -3) + 4 Reorder the terms: -5 + -7x = -1(-3 + x) + 4 -5 + -7x = (-3 * -1 + x * -1) + 4 -5 + -7x = (3 + -1x) + 4 Reorder the terms: -5 + -7x = 3 + 4 + -1x Combine like terms: 3 + 4 = 7 -5 + -7x = 7 + -1x Solving -5 + -7x = 7 + -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. -5 + -7x + x = 7 + -1x + x Combine like terms: -7x + x = -6x -5 + -6x = 7 + -1x + x Combine like terms: -1x + x = 0 -5 + -6x = 7 + 0 -5 + -6x = 7 Add '5' to each side of the equation. -5 + 5 + -6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 7 + 5 -6x = 7 + 5 Combine like terms: 7 + 5 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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