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Simplifying 13 + x = 5(x + -3) + -3(x + -4) Reorder the terms: 13 + x = 5(-3 + x) + -3(x + -4) 13 + x = (-3 * 5 + x * 5) + -3(x + -4) 13 + x = (-15 + 5x) + -3(x + -4) Reorder the terms: 13 + x = -15 + 5x + -3(-4 + x) 13 + x = -15 + 5x + (-4 * -3 + x * -3) 13 + x = -15 + 5x + (12 + -3x) Reorder the terms: 13 + x = -15 + 12 + 5x + -3x Combine like terms: -15 + 12 = -3 13 + x = -3 + 5x + -3x Combine like terms: 5x + -3x = 2x 13 + x = -3 + 2x Solving 13 + x = -3 + 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. 13 + x + -2x = -3 + 2x + -2x Combine like terms: x + -2x = -1x 13 + -1x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -1x = -3 + 0 13 + -1x = -3 Add '-13' to each side of the equation. 13 + -13 + -1x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -3 + -13 -1x = -3 + -13 Combine like terms: -3 + -13 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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