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Simplifying 5(x + -5) + 19 = -13 + 2(3x + -8) Reorder the terms: 5(-5 + x) + 19 = -13 + 2(3x + -8) (-5 * 5 + x * 5) + 19 = -13 + 2(3x + -8) (-25 + 5x) + 19 = -13 + 2(3x + -8) Reorder the terms: -25 + 19 + 5x = -13 + 2(3x + -8) Combine like terms: -25 + 19 = -6 -6 + 5x = -13 + 2(3x + -8) Reorder the terms: -6 + 5x = -13 + 2(-8 + 3x) -6 + 5x = -13 + (-8 * 2 + 3x * 2) -6 + 5x = -13 + (-16 + 6x) Combine like terms: -13 + -16 = -29 -6 + 5x = -29 + 6x Solving -6 + 5x = -29 + 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. -6 + 5x + -6x = -29 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = -29 + 0 -6 + -1x = -29 Add '6' to each side of the equation. -6 + 6 + -1x = -29 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -29 + 6 -1x = -29 + 6 Combine like terms: -29 + 6 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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