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Simplifying 4(x + -7) + -10 = 32x + -374 Reorder the terms: 4(-7 + x) + -10 = 32x + -374 (-7 * 4 + x * 4) + -10 = 32x + -374 (-28 + 4x) + -10 = 32x + -374 Reorder the terms: -28 + -10 + 4x = 32x + -374 Combine like terms: -28 + -10 = -38 -38 + 4x = 32x + -374 Reorder the terms: -38 + 4x = -374 + 32x Solving -38 + 4x = -374 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -38 + 4x + -32x = -374 + 32x + -32x Combine like terms: 4x + -32x = -28x -38 + -28x = -374 + 32x + -32x Combine like terms: 32x + -32x = 0 -38 + -28x = -374 + 0 -38 + -28x = -374 Add '38' to each side of the equation. -38 + 38 + -28x = -374 + 38 Combine like terms: -38 + 38 = 0 0 + -28x = -374 + 38 -28x = -374 + 38 Combine like terms: -374 + 38 = -336 -28x = -336 Divide each side by '-28'. x = 12 Simplifying x = 12
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