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Simplifying 5(x + -3) + 8 = 7x + -10 Reorder the terms: 5(-3 + x) + 8 = 7x + -10 (-3 * 5 + x * 5) + 8 = 7x + -10 (-15 + 5x) + 8 = 7x + -10 Reorder the terms: -15 + 8 + 5x = 7x + -10 Combine like terms: -15 + 8 = -7 -7 + 5x = 7x + -10 Reorder the terms: -7 + 5x = -10 + 7x Solving -7 + 5x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 5x + -7x = -10 + 7x + -7x Combine like terms: 5x + -7x = -2x -7 + -2x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -2x = -10 + 0 -7 + -2x = -10 Add '7' to each side of the equation. -7 + 7 + -2x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -10 + 7 -2x = -10 + 7 Combine like terms: -10 + 7 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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