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Simplifying 4(6x + -1) + -2(4x + -16) = 5(3x + 1) Reorder the terms: 4(-1 + 6x) + -2(4x + -16) = 5(3x + 1) (-1 * 4 + 6x * 4) + -2(4x + -16) = 5(3x + 1) (-4 + 24x) + -2(4x + -16) = 5(3x + 1) Reorder the terms: -4 + 24x + -2(-16 + 4x) = 5(3x + 1) -4 + 24x + (-16 * -2 + 4x * -2) = 5(3x + 1) -4 + 24x + (32 + -8x) = 5(3x + 1) Reorder the terms: -4 + 32 + 24x + -8x = 5(3x + 1) Combine like terms: -4 + 32 = 28 28 + 24x + -8x = 5(3x + 1) Combine like terms: 24x + -8x = 16x 28 + 16x = 5(3x + 1) Reorder the terms: 28 + 16x = 5(1 + 3x) 28 + 16x = (1 * 5 + 3x * 5) 28 + 16x = (5 + 15x) Solving 28 + 16x = 5 + 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. 28 + 16x + -15x = 5 + 15x + -15x Combine like terms: 16x + -15x = 1x 28 + 1x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 28 + 1x = 5 + 0 28 + 1x = 5 Add '-28' to each side of the equation. 28 + -28 + 1x = 5 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 5 + -28 1x = 5 + -28 Combine like terms: 5 + -28 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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