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Simplifying 6 + -3(x + 1) = 5(2x + 5) + 4 Reorder the terms: 6 + -3(1 + x) = 5(2x + 5) + 4 6 + (1 * -3 + x * -3) = 5(2x + 5) + 4 6 + (-3 + -3x) = 5(2x + 5) + 4 Combine like terms: 6 + -3 = 3 3 + -3x = 5(2x + 5) + 4 Reorder the terms: 3 + -3x = 5(5 + 2x) + 4 3 + -3x = (5 * 5 + 2x * 5) + 4 3 + -3x = (25 + 10x) + 4 Reorder the terms: 3 + -3x = 25 + 4 + 10x Combine like terms: 25 + 4 = 29 3 + -3x = 29 + 10x Solving 3 + -3x = 29 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + -3x + -10x = 29 + 10x + -10x Combine like terms: -3x + -10x = -13x 3 + -13x = 29 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -13x = 29 + 0 3 + -13x = 29 Add '-3' to each side of the equation. 3 + -3 + -13x = 29 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = 29 + -3 -13x = 29 + -3 Combine like terms: 29 + -3 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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