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Simplifying -9(x + 1) + -7(4x + -3) = -38(x + -1) + -10 Reorder the terms: -9(1 + x) + -7(4x + -3) = -38(x + -1) + -10 (1 * -9 + x * -9) + -7(4x + -3) = -38(x + -1) + -10 (-9 + -9x) + -7(4x + -3) = -38(x + -1) + -10 Reorder the terms: -9 + -9x + -7(-3 + 4x) = -38(x + -1) + -10 -9 + -9x + (-3 * -7 + 4x * -7) = -38(x + -1) + -10 -9 + -9x + (21 + -28x) = -38(x + -1) + -10 Reorder the terms: -9 + 21 + -9x + -28x = -38(x + -1) + -10 Combine like terms: -9 + 21 = 12 12 + -9x + -28x = -38(x + -1) + -10 Combine like terms: -9x + -28x = -37x 12 + -37x = -38(x + -1) + -10 Reorder the terms: 12 + -37x = -38(-1 + x) + -10 12 + -37x = (-1 * -38 + x * -38) + -10 12 + -37x = (38 + -38x) + -10 Reorder the terms: 12 + -37x = 38 + -10 + -38x Combine like terms: 38 + -10 = 28 12 + -37x = 28 + -38x Solving 12 + -37x = 28 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. 12 + -37x + 38x = 28 + -38x + 38x Combine like terms: -37x + 38x = 1x 12 + 1x = 28 + -38x + 38x Combine like terms: -38x + 38x = 0 12 + 1x = 28 + 0 12 + 1x = 28 Add '-12' to each side of the equation. 12 + -12 + 1x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 28 + -12 1x = 28 + -12 Combine like terms: 28 + -12 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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