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Simplifying 7 + -3(x + 5) = -2(x + 3) + -15 Reorder the terms: 7 + -3(5 + x) = -2(x + 3) + -15 7 + (5 * -3 + x * -3) = -2(x + 3) + -15 7 + (-15 + -3x) = -2(x + 3) + -15 Combine like terms: 7 + -15 = -8 -8 + -3x = -2(x + 3) + -15 Reorder the terms: -8 + -3x = -2(3 + x) + -15 -8 + -3x = (3 * -2 + x * -2) + -15 -8 + -3x = (-6 + -2x) + -15 Reorder the terms: -8 + -3x = -6 + -15 + -2x Combine like terms: -6 + -15 = -21 -8 + -3x = -21 + -2x Solving -8 + -3x = -21 + -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. -8 + -3x + 2x = -21 + -2x + 2x Combine like terms: -3x + 2x = -1x -8 + -1x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -1x = -21 + 0 -8 + -1x = -21 Add '8' to each side of the equation. -8 + 8 + -1x = -21 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -21 + 8 -1x = -21 + 8 Combine like terms: -21 + 8 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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