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Simplifying 3(x + -5) + -48 = 2(x + -8) Reorder the terms: 3(-5 + x) + -48 = 2(x + -8) (-5 * 3 + x * 3) + -48 = 2(x + -8) (-15 + 3x) + -48 = 2(x + -8) Reorder the terms: -15 + -48 + 3x = 2(x + -8) Combine like terms: -15 + -48 = -63 -63 + 3x = 2(x + -8) Reorder the terms: -63 + 3x = 2(-8 + x) -63 + 3x = (-8 * 2 + x * 2) -63 + 3x = (-16 + 2x) Solving -63 + 3x = -16 + 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. -63 + 3x + -2x = -16 + 2x + -2x Combine like terms: 3x + -2x = 1x -63 + 1x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -63 + 1x = -16 + 0 -63 + 1x = -16 Add '63' to each side of the equation. -63 + 63 + 1x = -16 + 63 Combine like terms: -63 + 63 = 0 0 + 1x = -16 + 63 1x = -16 + 63 Combine like terms: -16 + 63 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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