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Simplifying -7(x + -4) + 10 = -3(3x + -4) + 24 Reorder the terms: -7(-4 + x) + 10 = -3(3x + -4) + 24 (-4 * -7 + x * -7) + 10 = -3(3x + -4) + 24 (28 + -7x) + 10 = -3(3x + -4) + 24 Reorder the terms: 28 + 10 + -7x = -3(3x + -4) + 24 Combine like terms: 28 + 10 = 38 38 + -7x = -3(3x + -4) + 24 Reorder the terms: 38 + -7x = -3(-4 + 3x) + 24 38 + -7x = (-4 * -3 + 3x * -3) + 24 38 + -7x = (12 + -9x) + 24 Reorder the terms: 38 + -7x = 12 + 24 + -9x Combine like terms: 12 + 24 = 36 38 + -7x = 36 + -9x Solving 38 + -7x = 36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 38 + -7x + 9x = 36 + -9x + 9x Combine like terms: -7x + 9x = 2x 38 + 2x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 38 + 2x = 36 + 0 38 + 2x = 36 Add '-38' to each side of the equation. 38 + -38 + 2x = 36 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 36 + -38 2x = 36 + -38 Combine like terms: 36 + -38 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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