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Simplifying 5 + 4(1 + -3x) = -3 + (x + -3) + -9 5 + (1 * 4 + -3x * 4) = -3 + (x + -3) + -9 5 + (4 + -12x) = -3 + (x + -3) + -9 Combine like terms: 5 + 4 = 9 9 + -12x = -3 + (x + -3) + -9 Reorder the terms: 9 + -12x = -3 + (-3 + x) + -9 Remove parenthesis around (-3 + x) 9 + -12x = -3 + -3 + x + -9 Reorder the terms: 9 + -12x = -3 + -3 + -9 + x Combine like terms: -3 + -3 = -6 9 + -12x = -6 + -9 + x Combine like terms: -6 + -9 = -15 9 + -12x = -15 + x Solving 9 + -12x = -15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -12x + -1x = -15 + x + -1x Combine like terms: -12x + -1x = -13x 9 + -13x = -15 + x + -1x Combine like terms: x + -1x = 0 9 + -13x = -15 + 0 9 + -13x = -15 Add '-9' to each side of the equation. 9 + -9 + -13x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = -15 + -9 -13x = -15 + -9 Combine like terms: -15 + -9 = -24 -13x = -24 Divide each side by '-13'. x = 1.846153846 Simplifying x = 1.846153846
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