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Simplifying 7(x + 1) = 4[x + -1(3x + -1x)] Reorder the terms: 7(1 + x) = 4[x + -1(3x + -1x)] (1 * 7 + x * 7) = 4[x + -1(3x + -1x)] (7 + 7x) = 4[x + -1(3x + -1x)] Combine like terms: 3x + -1x = 2x 7 + 7x = 4[x + -1(2x)] Remove parenthesis around (2x) 7 + 7x = 4[x + -1 * 2x] Multiply -1 * 2 7 + 7x = 4[x + -2x] Combine like terms: x + -2x = -1x 7 + 7x = 4[-1x] Remove brackets around [-1x] 7 + 7x = 4 * -1x Multiply 4 * -1 7 + 7x = -4x Solving 7 + 7x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 7x + 4x = -4x + 4x Combine like terms: 7x + 4x = 11x 7 + 11x = -4x + 4x Combine like terms: -4x + 4x = 0 7 + 11x = 0 Add '-7' to each side of the equation. 7 + -7 + 11x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 0 + -7 11x = 0 + -7 Combine like terms: 0 + -7 = -7 11x = -7 Divide each side by '11'. x = -0.6363636364 Simplifying x = -0.6363636364
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