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Simplifying 5x + -13 = 2(x + -3) + 2(3x + -11) Reorder the terms: -13 + 5x = 2(x + -3) + 2(3x + -11) Reorder the terms: -13 + 5x = 2(-3 + x) + 2(3x + -11) -13 + 5x = (-3 * 2 + x * 2) + 2(3x + -11) -13 + 5x = (-6 + 2x) + 2(3x + -11) Reorder the terms: -13 + 5x = -6 + 2x + 2(-11 + 3x) -13 + 5x = -6 + 2x + (-11 * 2 + 3x * 2) -13 + 5x = -6 + 2x + (-22 + 6x) Reorder the terms: -13 + 5x = -6 + -22 + 2x + 6x Combine like terms: -6 + -22 = -28 -13 + 5x = -28 + 2x + 6x Combine like terms: 2x + 6x = 8x -13 + 5x = -28 + 8x Solving -13 + 5x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -13 + 5x + -8x = -28 + 8x + -8x Combine like terms: 5x + -8x = -3x -13 + -3x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -3x = -28 + 0 -13 + -3x = -28 Add '13' to each side of the equation. -13 + 13 + -3x = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = -28 + 13 -3x = -28 + 13 Combine like terms: -28 + 13 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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