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Simplifying 5 + -3(2x + -7) = 4(x + 5) + -6 Reorder the terms: 5 + -3(-7 + 2x) = 4(x + 5) + -6 5 + (-7 * -3 + 2x * -3) = 4(x + 5) + -6 5 + (21 + -6x) = 4(x + 5) + -6 Combine like terms: 5 + 21 = 26 26 + -6x = 4(x + 5) + -6 Reorder the terms: 26 + -6x = 4(5 + x) + -6 26 + -6x = (5 * 4 + x * 4) + -6 26 + -6x = (20 + 4x) + -6 Reorder the terms: 26 + -6x = 20 + -6 + 4x Combine like terms: 20 + -6 = 14 26 + -6x = 14 + 4x Solving 26 + -6x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 26 + -6x + -4x = 14 + 4x + -4x Combine like terms: -6x + -4x = -10x 26 + -10x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + -10x = 14 + 0 26 + -10x = 14 Add '-26' to each side of the equation. 26 + -26 + -10x = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -10x = 14 + -26 -10x = 14 + -26 Combine like terms: 14 + -26 = -12 -10x = -12 Divide each side by '-10'. x = 1.2 Simplifying x = 1.2
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