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Simplifying -6(5x + 8) + -3x = -4(6x + -1) + -7 Reorder the terms: -6(8 + 5x) + -3x = -4(6x + -1) + -7 (8 * -6 + 5x * -6) + -3x = -4(6x + -1) + -7 (-48 + -30x) + -3x = -4(6x + -1) + -7 Combine like terms: -30x + -3x = -33x -48 + -33x = -4(6x + -1) + -7 Reorder the terms: -48 + -33x = -4(-1 + 6x) + -7 -48 + -33x = (-1 * -4 + 6x * -4) + -7 -48 + -33x = (4 + -24x) + -7 Reorder the terms: -48 + -33x = 4 + -7 + -24x Combine like terms: 4 + -7 = -3 -48 + -33x = -3 + -24x Solving -48 + -33x = -3 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -48 + -33x + 24x = -3 + -24x + 24x Combine like terms: -33x + 24x = -9x -48 + -9x = -3 + -24x + 24x Combine like terms: -24x + 24x = 0 -48 + -9x = -3 + 0 -48 + -9x = -3 Add '48' to each side of the equation. -48 + 48 + -9x = -3 + 48 Combine like terms: -48 + 48 = 0 0 + -9x = -3 + 48 -9x = -3 + 48 Combine like terms: -3 + 48 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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