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Simplifying -3(5x + -4) = 2(x + 7) Reorder the terms: -3(-4 + 5x) = 2(x + 7) (-4 * -3 + 5x * -3) = 2(x + 7) (12 + -15x) = 2(x + 7) Reorder the terms: 12 + -15x = 2(7 + x) 12 + -15x = (7 * 2 + x * 2) 12 + -15x = (14 + 2x) Solving 12 + -15x = 14 + 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 + -15x + -2x = 14 + 2x + -2x Combine like terms: -15x + -2x = -17x 12 + -17x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -17x = 14 + 0 12 + -17x = 14 Add '-12' to each side of the equation. 12 + -12 + -17x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -17x = 14 + -12 -17x = 14 + -12 Combine like terms: 14 + -12 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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