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Simplifying -8(1 + 3x) + -7 = -8x + 33 (1 * -8 + 3x * -8) + -7 = -8x + 33 (-8 + -24x) + -7 = -8x + 33 Reorder the terms: -8 + -7 + -24x = -8x + 33 Combine like terms: -8 + -7 = -15 -15 + -24x = -8x + 33 Reorder the terms: -15 + -24x = 33 + -8x Solving -15 + -24x = 33 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + -24x + 8x = 33 + -8x + 8x Combine like terms: -24x + 8x = -16x -15 + -16x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + -16x = 33 + 0 -15 + -16x = 33 Add '15' to each side of the equation. -15 + 15 + -16x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = 33 + 15 -16x = 33 + 15 Combine like terms: 33 + 15 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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