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Simplifying 4(6x + -4) + 5(15 + -3x) + -4(2x + 3) = -2 Reorder the terms: 4(-4 + 6x) + 5(15 + -3x) + -4(2x + 3) = -2 (-4 * 4 + 6x * 4) + 5(15 + -3x) + -4(2x + 3) = -2 (-16 + 24x) + 5(15 + -3x) + -4(2x + 3) = -2 -16 + 24x + (15 * 5 + -3x * 5) + -4(2x + 3) = -2 -16 + 24x + (75 + -15x) + -4(2x + 3) = -2 Reorder the terms: -16 + 24x + 75 + -15x + -4(3 + 2x) = -2 -16 + 24x + 75 + -15x + (3 * -4 + 2x * -4) = -2 -16 + 24x + 75 + -15x + (-12 + -8x) = -2 Reorder the terms: -16 + 75 + -12 + 24x + -15x + -8x = -2 Combine like terms: -16 + 75 = 59 59 + -12 + 24x + -15x + -8x = -2 Combine like terms: 59 + -12 = 47 47 + 24x + -15x + -8x = -2 Combine like terms: 24x + -15x = 9x 47 + 9x + -8x = -2 Combine like terms: 9x + -8x = 1x 47 + 1x = -2 Solving 47 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 1x = -2 + -47 Combine like terms: 47 + -47 = 0 0 + 1x = -2 + -47 1x = -2 + -47 Combine like terms: -2 + -47 = -49 1x = -49 Divide each side by '1'. x = -49 Simplifying x = -49
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