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Simplifying 5(x + 3) + 4x + -3 = -1(2x + -4) + 2 Reorder the terms: 5(3 + x) + 4x + -3 = -1(2x + -4) + 2 (3 * 5 + x * 5) + 4x + -3 = -1(2x + -4) + 2 (15 + 5x) + 4x + -3 = -1(2x + -4) + 2 Reorder the terms: 15 + -3 + 5x + 4x = -1(2x + -4) + 2 Combine like terms: 15 + -3 = 12 12 + 5x + 4x = -1(2x + -4) + 2 Combine like terms: 5x + 4x = 9x 12 + 9x = -1(2x + -4) + 2 Reorder the terms: 12 + 9x = -1(-4 + 2x) + 2 12 + 9x = (-4 * -1 + 2x * -1) + 2 12 + 9x = (4 + -2x) + 2 Reorder the terms: 12 + 9x = 4 + 2 + -2x Combine like terms: 4 + 2 = 6 12 + 9x = 6 + -2x Solving 12 + 9x = 6 + -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. 12 + 9x + 2x = 6 + -2x + 2x Combine like terms: 9x + 2x = 11x 12 + 11x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 11x = 6 + 0 12 + 11x = 6 Add '-12' to each side of the equation. 12 + -12 + 11x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 6 + -12 11x = 6 + -12 Combine like terms: 6 + -12 = -6 11x = -6 Divide each side by '11'. x = -0.5454545455 Simplifying x = -0.5454545455
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