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Simplifying -2.5(4.2x) + 1.5 = 5(1.1x + -3) Remove parenthesis around (4.2x) -2.5 * 4.2x + 1.5 = 5(1.1x + -3) Multiply -2.5 * 4.2 -10.5x + 1.5 = 5(1.1x + -3) Reorder the terms: 1.5 + -10.5x = 5(1.1x + -3) Reorder the terms: 1.5 + -10.5x = 5(-3 + 1.1x) 1.5 + -10.5x = (-3 * 5 + 1.1x * 5) 1.5 + -10.5x = (-15 + 5.5x) Solving 1.5 + -10.5x = -15 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 1.5 + -10.5x + -5.5x = -15 + 5.5x + -5.5x Combine like terms: -10.5x + -5.5x = -16x 1.5 + -16x = -15 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 1.5 + -16x = -15 + 0.0 1.5 + -16x = -15 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -16x = -15 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -16x = -15 + -1.5 -16x = -15 + -1.5 Combine like terms: -15 + -1.5 = -16.5 -16x = -16.5 Divide each side by '-16'. x = 1.03125 Simplifying x = 1.03125
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