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Simplifying 5(x + 3) + 4 = -4(x + -10) + -9 Reorder the terms: 5(3 + x) + 4 = -4(x + -10) + -9 (3 * 5 + x * 5) + 4 = -4(x + -10) + -9 (15 + 5x) + 4 = -4(x + -10) + -9 Reorder the terms: 15 + 4 + 5x = -4(x + -10) + -9 Combine like terms: 15 + 4 = 19 19 + 5x = -4(x + -10) + -9 Reorder the terms: 19 + 5x = -4(-10 + x) + -9 19 + 5x = (-10 * -4 + x * -4) + -9 19 + 5x = (40 + -4x) + -9 Reorder the terms: 19 + 5x = 40 + -9 + -4x Combine like terms: 40 + -9 = 31 19 + 5x = 31 + -4x Solving 19 + 5x = 31 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 19 + 5x + 4x = 31 + -4x + 4x Combine like terms: 5x + 4x = 9x 19 + 9x = 31 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + 9x = 31 + 0 19 + 9x = 31 Add '-19' to each side of the equation. 19 + -19 + 9x = 31 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 31 + -19 9x = 31 + -19 Combine like terms: 31 + -19 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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