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Simplifying 4(2x + -5) + 16(x + -1) = 3(x + -3) + 12x + -90 Reorder the terms: 4(-5 + 2x) + 16(x + -1) = 3(x + -3) + 12x + -90 (-5 * 4 + 2x * 4) + 16(x + -1) = 3(x + -3) + 12x + -90 (-20 + 8x) + 16(x + -1) = 3(x + -3) + 12x + -90 Reorder the terms: -20 + 8x + 16(-1 + x) = 3(x + -3) + 12x + -90 -20 + 8x + (-1 * 16 + x * 16) = 3(x + -3) + 12x + -90 -20 + 8x + (-16 + 16x) = 3(x + -3) + 12x + -90 Reorder the terms: -20 + -16 + 8x + 16x = 3(x + -3) + 12x + -90 Combine like terms: -20 + -16 = -36 -36 + 8x + 16x = 3(x + -3) + 12x + -90 Combine like terms: 8x + 16x = 24x -36 + 24x = 3(x + -3) + 12x + -90 Reorder the terms: -36 + 24x = 3(-3 + x) + 12x + -90 -36 + 24x = (-3 * 3 + x * 3) + 12x + -90 -36 + 24x = (-9 + 3x) + 12x + -90 Reorder the terms: -36 + 24x = -9 + -90 + 3x + 12x Combine like terms: -9 + -90 = -99 -36 + 24x = -99 + 3x + 12x Combine like terms: 3x + 12x = 15x -36 + 24x = -99 + 15x Solving -36 + 24x = -99 + 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. -36 + 24x + -15x = -99 + 15x + -15x Combine like terms: 24x + -15x = 9x -36 + 9x = -99 + 15x + -15x Combine like terms: 15x + -15x = 0 -36 + 9x = -99 + 0 -36 + 9x = -99 Add '36' to each side of the equation. -36 + 36 + 9x = -99 + 36 Combine like terms: -36 + 36 = 0 0 + 9x = -99 + 36 9x = -99 + 36 Combine like terms: -99 + 36 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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