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Simplifying 5(x + -3) + -2(3x + -4) = 2x Reorder the terms: 5(-3 + x) + -2(3x + -4) = 2x (-3 * 5 + x * 5) + -2(3x + -4) = 2x (-15 + 5x) + -2(3x + -4) = 2x Reorder the terms: -15 + 5x + -2(-4 + 3x) = 2x -15 + 5x + (-4 * -2 + 3x * -2) = 2x -15 + 5x + (8 + -6x) = 2x Reorder the terms: -15 + 8 + 5x + -6x = 2x Combine like terms: -15 + 8 = -7 -7 + 5x + -6x = 2x Combine like terms: 5x + -6x = -1x -7 + -1x = 2x Solving -7 + -1x = 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. -7 + -1x + -2x = 2x + -2x Combine like terms: -1x + -2x = -3x -7 + -3x = 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -3x = 0 Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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