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Simplifying -1.5(16x + 7) = -3(10x + -0.5) Reorder the terms: -1.5(7 + 16x) = -3(10x + -0.5) (7 * -1.5 + 16x * -1.5) = -3(10x + -0.5) (-10.5 + -24x) = -3(10x + -0.5) Reorder the terms: -10.5 + -24x = -3(-0.5 + 10x) -10.5 + -24x = (-0.5 * -3 + 10x * -3) -10.5 + -24x = (1.5 + -30x) Solving -10.5 + -24x = 1.5 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -10.5 + -24x + 30x = 1.5 + -30x + 30x Combine like terms: -24x + 30x = 6x -10.5 + 6x = 1.5 + -30x + 30x Combine like terms: -30x + 30x = 0 -10.5 + 6x = 1.5 + 0 -10.5 + 6x = 1.5 Add '10.5' to each side of the equation. -10.5 + 10.5 + 6x = 1.5 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + 6x = 1.5 + 10.5 6x = 1.5 + 10.5 Combine like terms: 1.5 + 10.5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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