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Simplifying 1.5(x + -6) + 1 = 2(x + -10) + -3 Reorder the terms: 1.5(-6 + x) + 1 = 2(x + -10) + -3 (-6 * 1.5 + x * 1.5) + 1 = 2(x + -10) + -3 (-9 + 1.5x) + 1 = 2(x + -10) + -3 Reorder the terms: -9 + 1 + 1.5x = 2(x + -10) + -3 Combine like terms: -9 + 1 = -8 -8 + 1.5x = 2(x + -10) + -3 Reorder the terms: -8 + 1.5x = 2(-10 + x) + -3 -8 + 1.5x = (-10 * 2 + x * 2) + -3 -8 + 1.5x = (-20 + 2x) + -3 Reorder the terms: -8 + 1.5x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 -8 + 1.5x = -23 + 2x Solving -8 + 1.5x = -23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 1.5x + -2x = -23 + 2x + -2x Combine like terms: 1.5x + -2x = -0.5x -8 + -0.5x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -0.5x = -23 + 0 -8 + -0.5x = -23 Add '8' to each side of the equation. -8 + 8 + -0.5x = -23 + 8 Combine like terms: -8 + 8 = 0 0 + -0.5x = -23 + 8 -0.5x = -23 + 8 Combine like terms: -23 + 8 = -15 -0.5x = -15 Divide each side by '-0.5'. x = 30 Simplifying x = 30
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