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Simplifying 4(2x + -7) + 13 = 10x + -5 Reorder the terms: 4(-7 + 2x) + 13 = 10x + -5 (-7 * 4 + 2x * 4) + 13 = 10x + -5 (-28 + 8x) + 13 = 10x + -5 Reorder the terms: -28 + 13 + 8x = 10x + -5 Combine like terms: -28 + 13 = -15 -15 + 8x = 10x + -5 Reorder the terms: -15 + 8x = -5 + 10x Solving -15 + 8x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 8x + -10x = -5 + 10x + -10x Combine like terms: 8x + -10x = -2x -15 + -2x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -2x = -5 + 0 -15 + -2x = -5 Add '15' to each side of the equation. -15 + 15 + -2x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -5 + 15 -2x = -5 + 15 Combine like terms: -5 + 15 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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