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Simplifying 3(x + -4) + -8(4x + -7) = -30(x + -1) + 4 Reorder the terms: 3(-4 + x) + -8(4x + -7) = -30(x + -1) + 4 (-4 * 3 + x * 3) + -8(4x + -7) = -30(x + -1) + 4 (-12 + 3x) + -8(4x + -7) = -30(x + -1) + 4 Reorder the terms: -12 + 3x + -8(-7 + 4x) = -30(x + -1) + 4 -12 + 3x + (-7 * -8 + 4x * -8) = -30(x + -1) + 4 -12 + 3x + (56 + -32x) = -30(x + -1) + 4 Reorder the terms: -12 + 56 + 3x + -32x = -30(x + -1) + 4 Combine like terms: -12 + 56 = 44 44 + 3x + -32x = -30(x + -1) + 4 Combine like terms: 3x + -32x = -29x 44 + -29x = -30(x + -1) + 4 Reorder the terms: 44 + -29x = -30(-1 + x) + 4 44 + -29x = (-1 * -30 + x * -30) + 4 44 + -29x = (30 + -30x) + 4 Reorder the terms: 44 + -29x = 30 + 4 + -30x Combine like terms: 30 + 4 = 34 44 + -29x = 34 + -30x Solving 44 + -29x = 34 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 44 + -29x + 30x = 34 + -30x + 30x Combine like terms: -29x + 30x = 1x 44 + 1x = 34 + -30x + 30x Combine like terms: -30x + 30x = 0 44 + 1x = 34 + 0 44 + 1x = 34 Add '-44' to each side of the equation. 44 + -44 + 1x = 34 + -44 Combine like terms: 44 + -44 = 0 0 + 1x = 34 + -44 1x = 34 + -44 Combine like terms: 34 + -44 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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