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Simplifying 7 = 2(3x + -5) + -4(x + -6) Reorder the terms: 7 = 2(-5 + 3x) + -4(x + -6) 7 = (-5 * 2 + 3x * 2) + -4(x + -6) 7 = (-10 + 6x) + -4(x + -6) Reorder the terms: 7 = -10 + 6x + -4(-6 + x) 7 = -10 + 6x + (-6 * -4 + x * -4) 7 = -10 + 6x + (24 + -4x) Reorder the terms: 7 = -10 + 24 + 6x + -4x Combine like terms: -10 + 24 = 14 7 = 14 + 6x + -4x Combine like terms: 6x + -4x = 2x 7 = 14 + 2x Solving 7 = 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. 7 + -2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -2x = 14 + 0 7 + -2x = 14 Add '-7' to each side of the equation. 7 + -7 + -2x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 14 + -7 -2x = 14 + -7 Combine like terms: 14 + -7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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