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Simplifying 5(x + -3) + (1.5 + -1x) = 5x Reorder the terms: 5(-3 + x) + (1.5 + -1x) = 5x (-3 * 5 + x * 5) + (1.5 + -1x) = 5x (-15 + 5x) + (1.5 + -1x) = 5x Remove parenthesis around (1.5 + -1x) -15 + 5x + 1.5 + -1x = 5x Reorder the terms: -15 + 1.5 + 5x + -1x = 5x Combine like terms: -15 + 1.5 = -13.5 -13.5 + 5x + -1x = 5x Combine like terms: 5x + -1x = 4x -13.5 + 4x = 5x Solving -13.5 + 4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13.5 + 4x + -5x = 5x + -5x Combine like terms: 4x + -5x = -1x -13.5 + -1x = 5x + -5x Combine like terms: 5x + -5x = 0 -13.5 + -1x = 0 Add '13.5' to each side of the equation. -13.5 + 13.5 + -1x = 0 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + -1x = 0 + 13.5 -1x = 0 + 13.5 Combine like terms: 0 + 13.5 = 13.5 -1x = 13.5 Divide each side by '-1'. x = -13.5 Simplifying x = -13.5
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