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Simplifying 4[5x + -4(x + -1)] = 3[4(x + 1) + -7x] Reorder the terms: 4[5x + -4(-1 + x)] = 3[4(x + 1) + -7x] 4[5x + (-1 * -4 + x * -4)] = 3[4(x + 1) + -7x] 4[5x + (4 + -4x)] = 3[4(x + 1) + -7x] Reorder the terms: 4[4 + 5x + -4x] = 3[4(x + 1) + -7x] Combine like terms: 5x + -4x = 1x 4[4 + 1x] = 3[4(x + 1) + -7x] [4 * 4 + 1x * 4] = 3[4(x + 1) + -7x] [16 + 4x] = 3[4(x + 1) + -7x] Reorder the terms: 16 + 4x = 3[4(1 + x) + -7x] 16 + 4x = 3[(1 * 4 + x * 4) + -7x] 16 + 4x = 3[(4 + 4x) + -7x] Combine like terms: 4x + -7x = -3x 16 + 4x = 3[4 + -3x] 16 + 4x = [4 * 3 + -3x * 3] 16 + 4x = [12 + -9x] Solving 16 + 4x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 16 + 4x + 9x = 12 + -9x + 9x Combine like terms: 4x + 9x = 13x 16 + 13x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 16 + 13x = 12 + 0 16 + 13x = 12 Add '-16' to each side of the equation. 16 + -16 + 13x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 13x = 12 + -16 13x = 12 + -16 Combine like terms: 12 + -16 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077
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