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Simplifying 5(x + -4) + 7 = 3 + -2(5x + -4) Reorder the terms: 5(-4 + x) + 7 = 3 + -2(5x + -4) (-4 * 5 + x * 5) + 7 = 3 + -2(5x + -4) (-20 + 5x) + 7 = 3 + -2(5x + -4) Reorder the terms: -20 + 7 + 5x = 3 + -2(5x + -4) Combine like terms: -20 + 7 = -13 -13 + 5x = 3 + -2(5x + -4) Reorder the terms: -13 + 5x = 3 + -2(-4 + 5x) -13 + 5x = 3 + (-4 * -2 + 5x * -2) -13 + 5x = 3 + (8 + -10x) Combine like terms: 3 + 8 = 11 -13 + 5x = 11 + -10x Solving -13 + 5x = 11 + -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. -13 + 5x + 10x = 11 + -10x + 10x Combine like terms: 5x + 10x = 15x -13 + 15x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 -13 + 15x = 11 + 0 -13 + 15x = 11 Add '13' to each side of the equation. -13 + 13 + 15x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 15x = 11 + 13 15x = 11 + 13 Combine like terms: 11 + 13 = 24 15x = 24 Divide each side by '15'. x = 1.6 Simplifying x = 1.6
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