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Simplifying 4(x + -2) = 3(1.5x + x) Reorder the terms: 4(-2 + x) = 3(1.5x + x) (-2 * 4 + x * 4) = 3(1.5x + x) (-8 + 4x) = 3(1.5x + x) Combine like terms: 1.5x + x = 2.5x -8 + 4x = 3(2.5x) Remove parenthesis around (2.5x) -8 + 4x = 3 * 2.5x Multiply 3 * 2.5 -8 + 4x = 7.5x Solving -8 + 4x = 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -8 + 4x + -7.5x = 7.5x + -7.5x Combine like terms: 4x + -7.5x = -3.5x -8 + -3.5x = 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -8 + -3.5x = 0.0 Add '8' to each side of the equation. -8 + 8 + -3.5x = 0.0 + 8 Combine like terms: -8 + 8 = 0 0 + -3.5x = 0.0 + 8 -3.5x = 0.0 + 8 Combine like terms: 0.0 + 8 = 8 -3.5x = 8 Divide each side by '-3.5'. x = -2.285714286 Simplifying x = -2.285714286
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