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Simplifying -8(3x + -6) + -7x = 3x + -36 Reorder the terms: -8(-6 + 3x) + -7x = 3x + -36 (-6 * -8 + 3x * -8) + -7x = 3x + -36 (48 + -24x) + -7x = 3x + -36 Combine like terms: -24x + -7x = -31x 48 + -31x = 3x + -36 Reorder the terms: 48 + -31x = -36 + 3x Solving 48 + -31x = -36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 48 + -31x + -3x = -36 + 3x + -3x Combine like terms: -31x + -3x = -34x 48 + -34x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 48 + -34x = -36 + 0 48 + -34x = -36 Add '-48' to each side of the equation. 48 + -48 + -34x = -36 + -48 Combine like terms: 48 + -48 = 0 0 + -34x = -36 + -48 -34x = -36 + -48 Combine like terms: -36 + -48 = -84 -34x = -84 Divide each side by '-34'. x = 2.470588235 Simplifying x = 2.470588235
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