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Simplifying 4x + -15 = 8(x + -3) + 7 Reorder the terms: -15 + 4x = 8(x + -3) + 7 Reorder the terms: -15 + 4x = 8(-3 + x) + 7 -15 + 4x = (-3 * 8 + x * 8) + 7 -15 + 4x = (-24 + 8x) + 7 Reorder the terms: -15 + 4x = -24 + 7 + 8x Combine like terms: -24 + 7 = -17 -15 + 4x = -17 + 8x Solving -15 + 4x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 4x + -8x = -17 + 8x + -8x Combine like terms: 4x + -8x = -4x -15 + -4x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -4x = -17 + 0 -15 + -4x = -17 Add '15' to each side of the equation. -15 + 15 + -4x = -17 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = -17 + 15 -4x = -17 + 15 Combine like terms: -17 + 15 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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