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Simplifying 5 + -2(x + -4) = 3(x + -62) + -1 Reorder the terms: 5 + -2(-4 + x) = 3(x + -62) + -1 5 + (-4 * -2 + x * -2) = 3(x + -62) + -1 5 + (8 + -2x) = 3(x + -62) + -1 Combine like terms: 5 + 8 = 13 13 + -2x = 3(x + -62) + -1 Reorder the terms: 13 + -2x = 3(-62 + x) + -1 13 + -2x = (-62 * 3 + x * 3) + -1 13 + -2x = (-186 + 3x) + -1 Reorder the terms: 13 + -2x = -186 + -1 + 3x Combine like terms: -186 + -1 = -187 13 + -2x = -187 + 3x Solving 13 + -2x = -187 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + -2x + -3x = -187 + 3x + -3x Combine like terms: -2x + -3x = -5x 13 + -5x = -187 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -5x = -187 + 0 13 + -5x = -187 Add '-13' to each side of the equation. 13 + -13 + -5x = -187 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -187 + -13 -5x = -187 + -13 Combine like terms: -187 + -13 = -200 -5x = -200 Divide each side by '-5'. x = 40 Simplifying x = 40
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