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Simplifying 3(x + -4) = -5(2x + 1) + 58 Reorder the terms: 3(-4 + x) = -5(2x + 1) + 58 (-4 * 3 + x * 3) = -5(2x + 1) + 58 (-12 + 3x) = -5(2x + 1) + 58 Reorder the terms: -12 + 3x = -5(1 + 2x) + 58 -12 + 3x = (1 * -5 + 2x * -5) + 58 -12 + 3x = (-5 + -10x) + 58 Reorder the terms: -12 + 3x = -5 + 58 + -10x Combine like terms: -5 + 58 = 53 -12 + 3x = 53 + -10x Solving -12 + 3x = 53 + -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. -12 + 3x + 10x = 53 + -10x + 10x Combine like terms: 3x + 10x = 13x -12 + 13x = 53 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 13x = 53 + 0 -12 + 13x = 53 Add '12' to each side of the equation. -12 + 12 + 13x = 53 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 53 + 12 13x = 53 + 12 Combine like terms: 53 + 12 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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