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Simplifying 15(x + -7) + 4 = 10(x + -7) + 4 Reorder the terms: 15(-7 + x) + 4 = 10(x + -7) + 4 (-7 * 15 + x * 15) + 4 = 10(x + -7) + 4 (-105 + 15x) + 4 = 10(x + -7) + 4 Reorder the terms: -105 + 4 + 15x = 10(x + -7) + 4 Combine like terms: -105 + 4 = -101 -101 + 15x = 10(x + -7) + 4 Reorder the terms: -101 + 15x = 10(-7 + x) + 4 -101 + 15x = (-7 * 10 + x * 10) + 4 -101 + 15x = (-70 + 10x) + 4 Reorder the terms: -101 + 15x = -70 + 4 + 10x Combine like terms: -70 + 4 = -66 -101 + 15x = -66 + 10x Solving -101 + 15x = -66 + 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. -101 + 15x + -10x = -66 + 10x + -10x Combine like terms: 15x + -10x = 5x -101 + 5x = -66 + 10x + -10x Combine like terms: 10x + -10x = 0 -101 + 5x = -66 + 0 -101 + 5x = -66 Add '101' to each side of the equation. -101 + 101 + 5x = -66 + 101 Combine like terms: -101 + 101 = 0 0 + 5x = -66 + 101 5x = -66 + 101 Combine like terms: -66 + 101 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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