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Simplifying 5x + -13 = 3(2x + -4) Reorder the terms: -13 + 5x = 3(2x + -4) Reorder the terms: -13 + 5x = 3(-4 + 2x) -13 + 5x = (-4 * 3 + 2x * 3) -13 + 5x = (-12 + 6x) Solving -13 + 5x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x -13 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -1x = -12 + 0 -13 + -1x = -12 Add '13' to each side of the equation. -13 + 13 + -1x = -12 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -12 + 13 -1x = -12 + 13 Combine like terms: -12 + 13 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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