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Simplifying 4.5 + (2x + -3) = x + -1(3x + 10) Reorder the terms: 4.5 + (-3 + 2x) = x + -1(3x + 10) Remove parenthesis around (-3 + 2x) 4.5 + -3 + 2x = x + -1(3x + 10) Combine like terms: 4.5 + -3 = 1.5 1.5 + 2x = x + -1(3x + 10) Reorder the terms: 1.5 + 2x = x + -1(10 + 3x) 1.5 + 2x = x + (10 * -1 + 3x * -1) 1.5 + 2x = x + (-10 + -3x) Reorder the terms: 1.5 + 2x = -10 + x + -3x Combine like terms: x + -3x = -2x 1.5 + 2x = -10 + -2x Solving 1.5 + 2x = -10 + -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. 1.5 + 2x + 2x = -10 + -2x + 2x Combine like terms: 2x + 2x = 4x 1.5 + 4x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 1.5 + 4x = -10 + 0 1.5 + 4x = -10 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 4x = -10 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 4x = -10 + -1.5 4x = -10 + -1.5 Combine like terms: -10 + -1.5 = -11.5 4x = -11.5 Divide each side by '4'. x = -2.875 Simplifying x = -2.875
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