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Simplifying 70 = 2(x + 5) + 3(x + -4) Reorder the terms: 70 = 2(5 + x) + 3(x + -4) 70 = (5 * 2 + x * 2) + 3(x + -4) 70 = (10 + 2x) + 3(x + -4) Reorder the terms: 70 = 10 + 2x + 3(-4 + x) 70 = 10 + 2x + (-4 * 3 + x * 3) 70 = 10 + 2x + (-12 + 3x) Reorder the terms: 70 = 10 + -12 + 2x + 3x Combine like terms: 10 + -12 = -2 70 = -2 + 2x + 3x Combine like terms: 2x + 3x = 5x 70 = -2 + 5x Solving 70 = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 70 + -5x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 70 + -5x = -2 + 0 70 + -5x = -2 Add '-70' to each side of the equation. 70 + -70 + -5x = -2 + -70 Combine like terms: 70 + -70 = 0 0 + -5x = -2 + -70 -5x = -2 + -70 Combine like terms: -2 + -70 = -72 -5x = -72 Divide each side by '-5'. x = 14.4 Simplifying x = 14.4
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