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Simplifying 5x + -3(2x + 4) = 15 + 2x Reorder the terms: 5x + -3(4 + 2x) = 15 + 2x 5x + (4 * -3 + 2x * -3) = 15 + 2x 5x + (-12 + -6x) = 15 + 2x Reorder the terms: -12 + 5x + -6x = 15 + 2x Combine like terms: 5x + -6x = -1x -12 + -1x = 15 + 2x Solving -12 + -1x = 15 + 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. -12 + -1x + -2x = 15 + 2x + -2x Combine like terms: -1x + -2x = -3x -12 + -3x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -3x = 15 + 0 -12 + -3x = 15 Add '12' to each side of the equation. -12 + 12 + -3x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 15 + 12 -3x = 15 + 12 Combine like terms: 15 + 12 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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