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Simplifying 6(4x + -5) + -4(2x + -16) = 15x + 15 Reorder the terms: 6(-5 + 4x) + -4(2x + -16) = 15x + 15 (-5 * 6 + 4x * 6) + -4(2x + -16) = 15x + 15 (-30 + 24x) + -4(2x + -16) = 15x + 15 Reorder the terms: -30 + 24x + -4(-16 + 2x) = 15x + 15 -30 + 24x + (-16 * -4 + 2x * -4) = 15x + 15 -30 + 24x + (64 + -8x) = 15x + 15 Reorder the terms: -30 + 64 + 24x + -8x = 15x + 15 Combine like terms: -30 + 64 = 34 34 + 24x + -8x = 15x + 15 Combine like terms: 24x + -8x = 16x 34 + 16x = 15x + 15 Reorder the terms: 34 + 16x = 15 + 15x Solving 34 + 16x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 34 + 16x + -15x = 15 + 15x + -15x Combine like terms: 16x + -15x = 1x 34 + 1x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 34 + 1x = 15 + 0 34 + 1x = 15 Add '-34' to each side of the equation. 34 + -34 + 1x = 15 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 15 + -34 1x = 15 + -34 Combine like terms: 15 + -34 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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